Generalization of Knuth's Formula for the Number of Skew Tableaux

Minwon NA

doi:10.4036/iis.2016.R.02

Interdisciplinary Information Sciences

Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050

This article has now been updated. Please use the final version.

Generalization of Knuth's Formula for the Number of Skew Tableaux

Minwon NA

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Keywords: Knuth formula, skew tableau, Kostka number, Lassalle's explicit formula, symmetric group

JOURNAL FREE ACCESS Advance online publication

Article ID: 2016.R.02

DOI https://doi.org/10.4036/iis.2016.R.02

The final version of this article is now available: Vol. 22 (2016), No. 1 pp. 101-109

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Abstract

We take an elementary approach to derive a generalization of Knuth's formula using Lassalle's explicit formula. In particular, we give a formula for the Kostka numbers of a shape μ├ n and weight (m,1^n-m) for m=3,4.

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